Optimisation of multifractal analysis using box-size scaling

Details Optimisation of multifractal analysis using box-size scaling Optimisation of multifractal analysis using box-size scaling

2008-07-30

arxiv.org/abs/0807.4854v1

Eur. Phys. J. B 67, 77-82 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 4 figures

Scientific paper

10.1140/epjb/e2009-00009-7

We study various box-size scaling techniques to obtain the multifractal properties, in terms of the singularity spectrum f(alpha), of the critical eigenstates at the metal-insulator transition within the 3-D Anderson model of localisation. The typical and ensemble averaged scaling laws of the generalised inverse participation ratios are considered. In pursuit of a numerical optimisation of the box-scaling technique we discuss different box-partitioning schemes including cubic and non-cubic boxes, use of periodic boundary conditions to enlarge the system and single and multiple origins for the partitioning grid are also implemented. We show that the numerically most reliable method is to divide a system of linear size L equally into cubic boxes of size l for which L/l is an integer. This method is the least numerically expensive while having a good reliability.

Affiliated with

Also associated with

No associations

Rating

Optimisation of multifractal analysis using box-size scaling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Optimisation of multifractal analysis using box-size scaling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimisation of multifractal analysis using box-size scaling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259610